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Finding the Fourth Proportional to 4,198.99, 6,302.62 and 3,202.54

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Solution

The fourth proportional to 4,198.99, 6,302.62 and 3,202.54 is: 4,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.99 : 6,302.62 = 3,202.54 : x
  2. Step 2: Convert to fraction form
    4,198.99/6,302.62 = 3,202.54/x
  3. Step 3: Cross multiply
    4,198.99x = 6,302.62 × 3,202.54
  4. Step 4: Simplify right side
    4,198.99x = 20,184,392.65
  5. Step 5: Solve for x
    x = 20,184,392.65/4,198.99
  6. Step 6: Final answer
    x = 4,806.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.